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Finding the Fourth Proportional to 1,074.17, 1,611.25 and 457.87

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Solution

The fourth proportional to 1,074.17, 1,611.25 and 457.87 is: 686.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.17 : 1,611.25 = 457.87 : x
  2. Step 2: Convert to fraction form
    1,074.17/1,611.25 = 457.87/x
  3. Step 3: Cross multiply
    1,074.17x = 1,611.25 × 457.87
  4. Step 4: Simplify right side
    1,074.17x = 737,737.86
  5. Step 5: Solve for x
    x = 737,737.86/1,074.17
  6. Step 6: Final answer
    x = 686.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.